How to Find Fractions Equivalent to 10/36
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
10 × 2 = 20 and 36 × 2 = 72.
3. Verify the ratio
10 × 72 and 36 × 20 both equal 720.
Direct answer
20/72, 30/108, and 40/144 are equivalent to 10/36.
Enter whole-number numerator and denominator values. Results update instantly.
5/18
0.277778…
27.777778%
20/72 · 30/108 · 40/144
Use the same non-zero number for both terms; start with 2.
10 × 2 = 20 and 36 × 2 = 72.
10 × 72 and 36 × 20 both equal 720.
Multiply the numerator and denominator by the same non-zero whole number. The written numbers change, but the ratio stays equal.
| Multiplier | Calculation | Equivalent fraction | Cross-product check |
|---|---|---|---|
| × 2 | (10 × 2) / (36 × 2) | 20/72 | 10 × 72 = 36 × 20 |
| × 3 | (10 × 3) / (36 × 3) | 30/108 | 10 × 108 = 36 × 30 |
| × 4 | (10 × 4) / (36 × 4) | 40/144 | 10 × 144 = 36 × 40 |
| × 5 | (10 × 5) / (36 × 5) | 50/180 | 10 × 180 = 36 × 50 |
| × 6 | (10 × 6) / (36 × 6) | 60/216 | 10 × 216 = 36 × 60 |
| × 7 | (10 × 7) / (36 × 7) | 70/252 | 10 × 252 = 36 × 70 |
Because the numerator and denominator share a factor, this example is especially useful for practicing reduction before conversion.
Learning tip: Simplify first to make the decimal division and equivalence check easier.
20/72 is one equivalent fraction because both terms were multiplied by 2.
No. Divide the terms by 2 to get 5/18.
Cross-multiply. If the two cross-products are equal, the fractions represent the same value.
10/36 equals 0.277778… as a decimal and 27.777778% as a percentage.